export const ntildeProofs: {
  ntildeProof: {
    h1WrtH2: {
      alpha: string[];
      t: string[];
    };
    h2WrtH1: {
      alpha: string[];
      t: string[];
    };
  };
}[] = [
  {
    ntildeProof: {
      h1WrtH2: {
        alpha: [
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '46076b7f2d5bd9b19b4ef7b9a36ba0f9ebfa2ab9f551a2467b5fd263d76e38bab3de782a416102e48662a5f751f30e317b28f07eaf5992d2580300bc8c45db00a23c6c2a7484a26630094d2bd81159e44661f9b4028e5eaf187dda1bb8d0932e495f0899a6fff12e284a654070c93a0eb976a400a99c027faed2c15ffbf16a4ac1d8e63822eb798860dfbf14bda812eb5305ce328756429ee96111c18aeb7a2b6f9b2f589b55eeb25e9d92cb09fd0da88184e6792d835e2b54abf7d89e543715a3c6571388510e3aa1835cb6e65d0e99416d7b88b5b01bb6281daba28135a5a6c5436fc4ce373e752b198a8ec796e347df8abe27bb4293e1ff4b7ab7c688f98ab0960bf094018e7d1332a43efd02aa2d92232b0de3c04ae9331ae3215456a60e8dfc81cd130e8360461624f6a3ef05028d51150917e83a0da46fad48e6e739fe9d655030fcadebb3d3350385ea8055a7ff685c9228977a3c7627261b36b21f87e1d9f4255031b6334b8f3a2a49c009f5f3debb3cdeae94b2af89bdc7c09b95c5',
          '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',
          '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',
          '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',
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          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
        ],
      },
    },
  },
  {
    ntildeProof: {
      h1WrtH2: {
        alpha: [
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          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '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',
          '2261556ab8a98e3c0ef915974f6975c12742afc2d6f6bd1f0d381578c209402ab1731bf421028a706bea35d913e1f18cecc2eaab1bced6010dec00b77faf034aadb9377bd72b15463ada7d29ed5a7268eccec2352ad72b9b9fe3d3a18986e92dbd849e628f0c3906e8eaf91825d8981dd3959afff7f51af20c6696759cbb959b5f9e014faa790a810e3686a1d65e0eec56279e15969ea98a35cab7149f918080ea7bf44a830365e6877449aa644a4dc447de2fe0d5405dfa5c55c9d18db949e2c141cdcae9fa8ed0c71ceb2b69afb9bef9d0f1a961d216bf1857a4ee27ec373c7543da0556da1718514a28c3be6d6bc3aa3f5b0b663ec1ca5cb3b7dc9f512c7e6c2e66fd2221b7c3c87473be0c3d4ec5b6c61c027b90a74806792a66c79bb663cfe234c8263a77f8af0559a04d0af4904790f4b166eac7a43bf727a332d04316ac313c41d951eefa3228d4268d5cee4b9dee9f6a384fd3e7af143b36b498eccc2ead58df4a4abcdcbfe72560d77a01b113efb8fa74d9d4c115ce743ec01ae2ab',
        ],
      },
    },
  },
];

export const rangeProofChallenges = [
  {
    ntilde:
      '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',
    h1: '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',
    h2: '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',
  },
  {
    ntilde:
      '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',
    h1: '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',
    h2: '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',
  },
];
